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自然类中内射模直和的基本扩张
引用本文:董珺.自然类中内射模直和的基本扩张[J].河西学院学报,2005,21(2):13-15.
作者姓名:董珺
作者单位:西北师范大学数学与信息科学学院,甘肃,兰州,730070
摘    要:k是M-自然类,证明在k中,任意M-内射模的直和的基本扩张是M-内射模的直和,并且通过可数多个k-cocritical模,刻划了∞i=⊕1E_M(S_i)的基本扩张是M-内射模的直和.

关 键 词:k-自然类  M-内射模  基本扩张  k-cocritical模

On Essential Extensions of Direct Sums of Injective Modules in Natural Class
DONG Jun.On Essential Extensions of Direct Sums of Injective Modules in Natural Class[J].Journal of Hexi University,2005,21(2):13-15.
Authors:DONG Jun
Abstract:In this paper we show that essentiality of direct sums of any M-injective modules belonging to natural class κ is direct sums of M-injective modules and essentiality of estensions is the direct sums of M- injective modules characterized by a countable k-cocritical modules.
Keywords:k-natural class  M-injective modules  essential estensions  k-cocritical modules  
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